Proving Properties of Parallelogram

Find the value of b.

Mathematical Equivalence

OFF

Tags

CCSS.HSG.CO.C.11

Find the value of u.

Mathematical Equivalence

OFF

Tags

CCSS.HSG.CO.C.11

Find the value of v.

Mathematical Equivalence

OFF

Tags

CCSS.HSG.CO.C.11

Find the value of t.

Mathematical Equivalence

OFF

Tags

CCSS.HSG.CO.C.11

What is reason #3? Make sure you write-in the reasons on your proofs.

• Definition of a parallelogram

• Definition of a quadrilateral

• opposite sides are congruent property

• opposite sides are supplementary

Tags

CCSS.HSG.CO.C.11

Fill in the Reason.

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

Tags

CCSS.HSG.CO.C.11

The figure is a parallelogram.  
Solve for x.  
Give a reason.

• 7

• 1

• 5

• 2

Tags

CCSS.HSG.CO.C.11

What is reason #4?

• Same-side interior angles theorem

• alternate interior angles theorem

• consecutive angles theorem

• supplementary angles

Tags

CCSS.HSG.CO.C.11

Fill in the Reason

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

Tags

CCSS.HSG.SRT.B.5

Fill in the Reason.

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

Tags

CCSS.HSG.C.A.3